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E:\Working\Focus_Learning\Math_Genius_4_(25-10-2023)\Open_Files\Chap-04
              \\December 8, 2023 9:53 AM   Bharat Arora   P-6           Reader _________________________   Date: ___________________74





                             Step 2:  Subtract 75 from 89 to get 14 as the remainder.

                                       Bring down 7 to make it 147.
                             Step 3: Divide 147 by 15.


                                       15 goes into 147 by 9 times as 15 × 9 = 135 < 147
                                       Write 9 at the tens place of the quotient and 135 below 147.

                             Step 4:  Subtract 135 from 147 to get 12 as the remainder.

                                       Bring down 6 to make it 126.                     Divisor

                             Step 5:  Divide 126 by 15.                                       15   8976 598         Q

                                       15 goes into 126 by 8 times as                            –  75      The first
                                                                                                            leading
                                                                                                   147
                                       15 × 8 = 120 < 126                                        –  135     partial
                                                                                                            dividend.
                                         Write 8 at the ones place of the quotient               –   126
                                                                                                     120
                                       and 120 below 126.                                              6     R

                             Step 6:  Subtract 120 from 126 to get 6 as the

                                       remainder.

              Checking: Quotient × Divisor + Remainder = 15 × 598 + 6 = 8976 = Dividend

              example 2: Divide 88765 by 36 and check your division.
              Solution:


                    36 88765 2465
                                           88 is the leading first partial dividend.
                         72                36 × 2 = 72                                   72 is the maximum possible
                                                                                         product < 88.
                         167               Subtract: 88 – 72 = 16 and bring down 7.
                         144               36 × 4 = 144                                  144 is the maximum possible
                          236              Subtract: 167 – 144 = 23 and bring down 6.    product < 167.
                          216              36 × 6 = 216
                            205            Subtract: 236 – 216 = 20 and bring down 5.    216 is the maximum possible
                            180            36 × 5 = 180                                  product < 236.
                             25 R          Subtract: 205 – 180 = 25                      180 is the maximum possible

                                           25 is the remainder.                          product < 205.
                            Thus, 88765 ÷ 36 gives Q = 2465, R = 25.

              Checking:  Divisor × Quotient + Remainder

                                        = 2465 × 36 + 25                                             Note
                                                                                           Division by more than
                                        = 88740 + 25                                       1-digit number requires
                                        = 88765 = Dividend                                 estimation of suitable
                                                                                           products through mental
                            Thus, the answer is correct.                                   calculations or times table.


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